You just drew a great Limited entry unit. You live in New Mexico and you were smart enough to apply for 16C. I have hunted 16C three times and all of it has good areas.
What I would be driving down and looking for a great area! Looking for water, elk, big bulls and learning the road system! I would be looking for camping spots to determine where the pressure would be. I would be figuring out where the elk would be feeding and where they went to bed and I would figure out where I would connect with them on their journey! It is amazing what you can learn on a two or three day scouting trip. Especially if if I have diligently done my research in order to not waste time. There is unlimited information on the web.
Do you plan to bring horses, 4 wheelers, or are you planning to backpack into the wilderness.
The real questions is where is closest cooler, processor, or how much ice to bring. Is it better to bring block ice.
Sure, I can send you a couple starting points but I could just as easily tell you Beaverhead and Winston an you would not be far from elk with either.